De — sitter representations and the particle concept, studied in an ur-theoretical cosmological model

Abstract

The theory of urs (basic two-valued observables) is used to describe particles in cosmic space-time. Cosmic position space is described as S³, interpreted as a homogeneous space of SU(2). An expanding model of the universe is locally approximated by de Sitter spaces. Irreducible representations of the de Sitter group are explicitly constructed in ur theory. From these, Poincaré group representations in Minkowski space with well-defined rest mass are deduced by a special rule of contraction.